# How do you graph #f(x)=(1-x^2)/x# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

no holes

vertical asymptote at

no horizontal asymptote

slant/oblique asymptote at

#### Explanation:

Given:

This is a rational function:

Factor the numerator:

**Holes:** Since there are no terms that cancel, there are no holes.

Find **vertical asymptotes:** when

**Find x-intercepts** by setting

**Find y-intercept** by setting

**Find horizontal asymptote** by comparing

If

If

If

In the given equation,

If

You need to use long division to **find the slant/oblique asymptote** :

slant/oblique asymptote is at